Finite Group Databasebeta

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C₃₁×#2623 #16842556

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

526 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 51 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31)(36,37,40,41)(38,39,42,43)(46,50)(48,51);(33,35)(37,41)(38,42)(44,45,47,49)(46,51,50,48);(32,33)(34,35)(36,38)(37,39)(40,42)(41,43)(44,46)(45,48)(47,50)(49,51);(36,39)(37,42)(38,41)(40,43)

Conjugacy classes & character table

992 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1355);